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Finding the Fourth Proportional to 5,656.56, 7,805.42 and 3,138.60

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Solution

The fourth proportional to 5,656.56, 7,805.42 and 3,138.60 is: 4,330.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,656.56 : 7,805.42 = 3,138.60 : x
  2. Step 2: Convert to fraction form
    5,656.56/7,805.42 = 3,138.60/x
  3. Step 3: Cross multiply
    5,656.56x = 7,805.42 × 3,138.60
  4. Step 4: Simplify right side
    5,656.56x = 24,498,091.21
  5. Step 5: Solve for x
    x = 24,498,091.21/5,656.56
  6. Step 6: Final answer
    x = 4,330.92

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.